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On rational Drinfeld associators

Number of pages16
Publication date2010
Abstract

We prove an estimate on denominators of rational Drinfeld asso- ciators. To obtain this result, we prove the corresponding estimate for the p-adic associators stable under the action of suitable elements of Gal(¯Q/Q). As an application, we settle in the positive Duflo's question on the Kashiwara– Vergne factorizations of the Jacobson element Jp(x, y) = (x + y)p − xp − yp in the free Lie algebra over a field of characteristic p. Another application is a new estimate on denominators of the Kontsevich knot invariant.

Classification
  • arxiv : math.QA
Note16 pages; v2: new section on Kontsevich knot invariant; v3: new Theorem 3.1 on construction of associators out of elements of GT
Citation (ISO format)
ALEKSEEV, Anton, PODKOPAEVA, Masha, SEVERA, Pavol. On rational Drinfeld associators. 2010, p. 16.
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Creation09/23/2010 1:57:00 PM
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